The influence of a time-dependent oscillatory external field on the melting
transition of a polydisperse colloidal crystal is examined by theory and c
omputer simulation. In a monodisperse crystal the field just induces an ove
rall dynamical mode which does not affect the melting line. For a polydispe
rse sample, on the other hand, the field shifts the melting line towards-sm
aller temperatures. Combining a solid cell approach and a Lindemann criteri
on in nonequilibrium, a simple theory is presented showing that the tempera
ture shift scales with the square of the relative polydispersity. The theor
y is in reasonable agreement with nonequilibrium Brownian dynamics computer
simulations. [S1063-651X(99)11908-1].